Common Fixed Point Results in \(C\)-Complete Complex Valued Metric Spaces
DOI:
https://doi.org/10.26713/cma.v11i4.1409Keywords:
\(C\)-complex valued metric spaces, Common fixed point, Weakly compatible mappingsAbstract
In this paper, we establish some common fixed point theorems involving two pairs of weakly compatible mappings satisfying rational inequality in the setting of \(C\)-complex valued metric space. The presented theorems generalize, extend and improve the known results in the literature.
Downloads
References
A. Azam, F. Brain and M. Khan, Common fixed point theorems in complex valued metric spaces, Numerical Functional Analysis and Optimization 32 (2011), 243 – 253, url: https://www.tandfonline.com/doi/full/10.1080/01630563.2011.533046.
A. K. Dubey, S. Bibay, R. P. Dubey and M. D. Pandey, Some fixed point theorems in C-complete complex valued metric spaces, Communication in Mathematics and Applications 9(4) (2018), 581 – 591, DOI: 10.26713/cma.v9i4.1036.
C. Klin-eam and C. Suanoom, Some common fixed point theorems for generalized contractive type mappings on complex valued metric spaces, Abstract and Applied Analysis 2013 (2013), pages 6, Article ID 604215, DOI: 10.1155/2013/604215.
D. Kumar and S. Chandok, Existence of fixed points for pairs of mappings and application to Urysohn integral equations, arXiv:1709.02913v1[math.FA], 9 September 2017, URL: https://arxiv.org/abs/1709.02913.
F. Rouzkard and M. Imdad, Some common fixed point theorems on complex valued metric space, Computers & Mathematics with Applications 64 (2012), 1866 – 1874, DOI: 10.1016/j.camwa.2012.02.063.
F. Rouzkard, Some results on complex valued metric spaces employing contractive conditions with complex coefficients and its applications, Boletim da Sociedade Paranaense de Matemática 36(3) (2018), 103 – 113, DOI: 10.5269/bspm.v36i3.32977.
K. Sitthikul and S. Saejung, Some fixed point theorems in complex valued metric spaces, Fixed Point Theory and Applications 2012 (2012), Article number 189, DOI: 10.1186/1687-1812-2012-189.
S. Bhatt, S. Chaukiyal and R. C. Dimiri, A common fixed point theorem for weakly compatible maps in complex valued metric space, International Journal of Mathematical Sciences and Applications 1(3) (2011), 1385 – 1389, URL: http://ijmsa.yolasite.com/resources/42--sep.pdf.
W. Sintunavart, Y. J. Cho and P. Kumam, Urysohn integral equations approach by common fixed points in complex valued metric spaces, Advances in Difference Equations 2013 (2013), Article number 49, DOI: 10.1186/1687-1847-2013-49.
W. Sintunavarat, M. B. Zada and M. Sarwar, Common solution of Uryshon integral equation with the help of common fixed point results in complex valued metric spaces, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 111 (2017), 531 – 545, DOI: 10.1007/s13398-016-0309-z.
W. Sintunavarat and P. Kumam, Generalized common fixed point theorems in complex valued metric spaces and applications, Journal of Inequalities and Applications 2012 (2012), Article number 84, DOI: 10.1186/1029-242X-2012-84.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.